COVID-19 information for PI Residents and Visitors
- Gökҫe Başar, University of Maryland
- Freddy Cachazo, Perimeter Institute
- Olivia Dumitrescu, Leibniz Universität Hannover
- Alexander Getmanenko, Universidad de los Andes
- Kohei Iwaki, Nagoya University
- Matilde Marcolli, California Institute of Technology
- Lionel Mason, University of Oxford
- Pranav Pandit, Vienna University
- Marcus Spradlin, Brown University
- Karen Yeats, Simon Fraser University
- Gökҫe Başar, University of Maryland
- Francis Bischoff, University of Toronto
- Anton Borissov, University of Waterloo
- Dylan Butson, Perimeter Institute
- Freddy Cachazo, Perimeter Institute
- Sean Carrell, University of Waterloo
- Raymond Cheng, University of Waterloo
- Clair Dai, University of Waterloo
- Olivia Dumitrescu, Leibniz Universität Hannover
- Mohamed El Alami, University of Waterloo
- Travis Ens, University of Toronto
- Ali Fathi, University of Western Ontario
- Antonia Frassino, Perimeter Institute
- Alberto Garcia-Raboso, University of Toronto
- Alexander Getmanenko, Universidad de los Andes
- Steven Gindi, University of Waterloo
- Henrique Gomes, Perimeter Institute
- Humberto Gomez, Perimeter Institute
- Marco Gualtieri, University of Toronto
- Krystal Guo, Simon Fraser University
- Shengda Hu, Wilfrid Laurier University
- Kohei Iwaki, Nagoya University
- Lisa Jeffrey, University of Toronto
- Masoud Khalkhali, University of Western Ontario
- Maximilian Klambauer, University of Toronto
- Carson Li, University of Guelph
- Yan Rong Li, University of Waterloo
- Matilde Marcolli, California Institute of Technology
- Lionel Mason, University of Oxford
- Mykola Matviichuk, University of Toronto
- Matt McTaggart, Royal Military College of Canada
- Ruxandra Moraru, University of Waterloo
- Victor Mouquin, University of Toronto
- Robert Myers, Perimeter Institute
- Timothy Nguyen, Michigan State University
- Nikita Nikolaev, University of Toronto
- Comron Nouri, Pennsylvania State University
- Pranav Pandit, Vienna University
- Gideon Providence, University of Toronto
- Geoffrey Scott, University of Toronto
- Sam Selmani, McGill University
- Reza Seyyedali, University of Waterloo
- Barak Shoshany, Perimeter Institute
- Marcus Spradlin, Brown University
- Prashant Subbarao, University of Pennsylvania
- David Svoboda, Perimeter Institute
- Brett Teeple, University of Toronto
- Baris Ugurcan, University of Western Ontario
- David Wagner, University of Waterloo
- McKenzie Wang, McMaster University
- Mitsuru Wilson, University of Western Ontario
- Karen Yeats, Simon Fraser University
- Ahmed Zerouali, University of Toronto
- Nosiphiwo Zwane, Perimeter Institute
Monday, May 25, 2015
Time |
Event |
Location |
9:00 – 9:30am |
Registration |
Reception |
9:30 – 9:35am |
Welcome and Opening Remarks |
Theater |
9:35 – 10:30am |
Freddy Cachazo, Perimeter Institute |
Theater |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Kohei Iwaki, Nagoya University |
Theater |
12:00 – 1:30pm |
Lunch Break |
|
1:30 – 3:00pm |
Pranav Pandit, University of Vienna |
Theater |
3:00 – 3:30pm |
Coffee Break |
Bistro – 1st Floor |
3:30 – 5:00pm |
Olivia Dumitrescu, Leibniz Universität Hannover |
Theater |
Tuesday, May 26, 2015
Time |
Event |
Location |
9:30 – 10:30am |
Freddy Cachazo, Perimeter Institute |
Bob Room |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Kohei Iwaki, Nagoya University |
Bob Room |
12:00 – 1:30pm |
Lunch Break |
|
1:30 – 3:00pm |
Pranav Pandit, University of Vienna |
Bob Room |
3:00 – 3:30pm |
Coffee Break |
Bistro – 1st Floor |
3:30 – 5:00pm |
Marcus Spradlin, Brown University |
Bob Room |
Wednesday, May 27, 2015
Time |
Event |
Location |
9:30 – 10:30am |
Freddy Cachazo, Perimeter Institute |
Bob Room |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Kohei Iwaki, Nagoya University |
Bob Room |
12:00 – 12:10pm |
Conference Photo |
TBA |
12:10 – 2:00pm |
Lunch Break |
|
2:00 – 3:30pm |
Colloquium |
Theater |
3:30 – 5:00pm |
Marcus Spradlin, Brown University |
Bob Room |
Thursday, May 28, 2015
Time |
Event |
Location |
9:30 – 10:30am |
Lionel Mason, University of Oxford |
Bob Room |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Alexander Getmanenko, Universidad de los Andes |
Bob Room |
12:00 – 1:30pm |
Lunch Break |
|
1:30 – 3:00pm |
Matilde Marcolli, California Institute of Technology |
Bob Room |
3:00 – 3:30pm |
Coffee Break |
Bistro – 1st Floor |
3:30 – 5:00pm |
Karen Yeats, Simon Fraser University |
Bob Room |
7:00pm onwards |
Reception |
Bistro – 2nd Floor |
Friday, May 29, 2015
Time |
Event |
Location |
9:30 – 10:30am |
Lionel Mason, University of Oxford |
Bob Room |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Alexander Getmanenko, Universidad de los Andes |
Bob Room |
12:00 – 1:30pm |
Lunch Break |
|
1:30 – 3:00pm |
Matilde Marcolli, California Institute of Technology |
Bob Room |
3:00 – 3:30pm |
Coffee Break |
Bistro – 1st Floor |
3:30 – 5:00pm |
Karen Yeats, Simon Fraser University |
Bob Room |
Saturday, May 30, 2015
Time |
Event |
Location |
9:30 – 10:30am |
Lionel Mason, University of Oxford |
Bob Room |
10:30 – 11:00am |
Coffee Break |
Bistro – 1st Floor |
11:00 – 12:00pm |
Alexander Getmanenko, Universidad de los Andes |
Bob Room |
12:00 – 1:30pm |
Lunch Break |
|
1:30 – 3:00pm |
Gokce Basar, University of Maryland |
Bob Room |
3:00 – 3:30pm |
Coffee Break |
Bistro – 1st Floor |
Gocke Basar, University of Maryland
Resurgence, uniform WKB and complex instantons
The theory of resurgence connects perturbative and non-perturbative physics. Focusing on certain one-dimensional quantum mechanical systems with degenerate harmonic minima, I will explain how the resurgent trans-series expansions for the low lying energy eigenvalues follow from the exact quantization condition via the uniform WKB approach. In the opposite spectral region (with high lying eigenvalues), in contrast to the divergent asymptotic expansions expressed as trans-series, the relevant expansions are convergent. However, due to the poles in the expansion coefficients, they contain non-perturbative contributions which can be identified with complex instantons. I will demonstrate that in each spectral region there are striking relation between perturbative and non-perturbative expansions even though the nature of these expansions are very different. Notably, the quantum mechanical examples that I will discuss encode the vacua of certain supersymmetric gauge theories in their spectra.
Freddy Cachazo, Perimeter Institute
Scattering Amplitudes and Riemann Surfaces
In 2003 Witten introduced twistor string theory as a novel description of the scattering matrix of the maximally supersymmetric Yang-Mills theory in four dimensions. In these lectures I will give an introduction to the developments that have led to new formulations, also based on Riemann surfaces, of a large variety of theories, with and without supersymmetry, in arbitrary space-time dimensions.
Olivia Dumitrescu, Leibniz Universität Hannover
Topological Recursion for Higgs Bundles and Cohomological Field Theory
I will give an overview of the algebro-geometric approach to Feynman integral in perturbative quantum field theory and the occurrence of motives and periods in parametric Feynman integrals in momentum space, focusing on joint work with Paolo Aluffi.
Talk 1: Feynman integrals and motives in configuration spaces
This talk will cover aspects of Feynman integral computations in configuration spaces, and some related mathematical problems, and the occurrence of motives and periods, focusing on joint work with Ozgur Ceyhan.
Talk 2: A motivic approach to Potts models
In this talk I will discuss how techniques similar to those adopted to study the algebro-geometric aspects of Feynman integrals in momentum space can be applied to Potts models and generalizations with magnetic field, and investigate various complexity questions. This talk is based on joint work with Paolo Aluffi and with my students Jessica Su and Shival Dasu.
Lionel Mason, University of Oxford
Ambitwistors-strings and amplitudes
These lectures will focus on the geometry of ambitwistor string theories. These are infinite tension analogues of conventional strings and provide the theory that leads to the remarkable formulae for tree amplitudes that have been developed by Cachazo, He and Yuan based on the scattering equations. Although the bosonic ambitwistor string action is expressed in space-time, it will be seen that its target is classically `ambitwistor space', the space of complexified null geodesics in the complexification of a space-time. The lectures will review Ambitwistor constructions from the 70's and 80's that extend the Penrose-Ward twistor constructions for self-dual Yang-Mills and gravitational fields in four dimensions to arbiitrary fields in general dimension. LeBrun showed that the conformal geometry of a space-time is encoded into the complex structure of ambitwistor space. The linearized version encodes linear fields on space-time into sheaf cohomology classes on ambitwistor space. In the case of momentum eigenstates, these give the `scattering equations' that underly the CHY formulae and the ambitwistor string can be used to compute amplitudes via these formulae. If there is time, the lectures will discuss how different matter theories can be obtained, different geometric realizations of ambitwistor space lead to different formulae, the relationship between the asymptotic symmetries of space-time and Weinberg's soft theorems concerning the behaviour of amplitudes when momenta become small, and/or extensions of the ideas to loop amplitudes.
Buildings, WKB analysis, and spectral networks
Buildings, WKB analysis, and spectral networks
Buildings are higher dimensional analogues of trees. The goal of these lectures is to explain how the theory of harmonic maps to buildings affords a new perspective on certain aspects of the WKB analysis of differential equations that depend on a small parameter. We will also touch upon some motivation for developing this perspective, which derives from questions about compactifications of higher Teichmüller spaces, stability in Fukaya categories, and the work of Gaiotto, Moore and Neitzke on spectral networks and wall-crossing phenomena.
Introduction to exact WKB analysis I
Exact WKB analysis, developed by Voros et.al., is an effective method for the global study of differential equations (containing a large parameter) defined on a complex domain. In the first and second lecture I'll give an introduction to exact WKB analysis, and recall some basic facts about WKB solutions, Borel resummation, Stokes graphs etc.
Scattering Amplitudes and Riemann Surfaces
In 2003 Witten introduced twistor string theory as a novel description of the scattering matrix of the maximally supersymmetric Yang-Mills theory in four dimensions. In these lectures I will give an introduction to the developments that have led to new formulations, also based on Riemann surfaces, of a large variety of theories, with and without supersymmetry, in arbitrary space-time dimensions.
Welcome and Opening Remarks
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Scientific Organizers:
- Freddy Cachazo, Perimeter Institute
- Alberto Garcia-Raboso, University of Toronto
- Marco Gualtieri, University of Toronto
- Ruxandra Moraru, University of Waterloo
- McKenzie Wang, McMaster University